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Finding the Fourth Proportional to 416,853.44, 575,256.96 and 225,872

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Solution

The fourth proportional to 416,853.44, 575,256.96 and 225,872 is: 311,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,853.44 : 575,256.96 = 225,872 : x
  2. Step 2: Convert to fraction form
    416,853.44/575,256.96 = 225,872/x
  3. Step 3: Cross multiply
    416,853.44x = 575,256.96 × 225,872
  4. Step 4: Simplify right side
    416,853.44x = 129,934,440,069.12
  5. Step 5: Solve for x
    x = 129,934,440,069.12/416,853.44
  6. Step 6: Final answer
    x = 311,702.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.